Billy Joel, packing up his piano, on his Garden goodbye … for now: ‘We’ll come back’

On the final night of his historic monthly residency at his hometown arena, Madison Square Garden, Billy Joel sang about “The River of Dreams” —the doo-wop-meets-Afro-pop ditty that became his last Top 10 single to date in 1993.

It was easily the cheesiest song of the night, but hey, a hit is a hit.

On this special Thursday evening, when Joel was saying goodbye to his house after 10 years, 104 sold-out shows and 1.9 million tickets scanned, it took on a sentimental significance for the 75-year-old local legend, who described the residency as “a dream come true.”

Indeed, the Bronx-born, Long Island-bred Piano Man reminisced about going to the old Madison Square Garden — located further uptown in Manhattan on 8th Avenue between 49th and 50th streets — “when I was, like, a 4-year-old to see the circus and watch Gene Autry sing ‘Rudolph, the Red-Nosed Reindeer.’

“And now,” he marveled, “here I am doing this.”

The resident “Big Shot” — sorry to the Knicks and the Rangers — was pinching himself that he has ruled the big daddy of all arenas, even without basically not releasing any new pop music since last millennium. (Save for the great new piano ballad “Turn the Lights Back On,” which he dropped five months ago but didn’t perform last night.)